The galaxy cluster MS 0735.6+7421 hosts a couple of X-ray cavities [1]}, [2]}, [3]}, where a diffuse radio emission filling the cavities is also observed [4]}, [5]}. These cavities have also been observed through the SZE at 30 GHz using the Combined Array for Research in Millimeter-wave Astronomy (CARMA) interferometer [6]}, which detected a clear deficit in the SZ signal in the direction of the cavities. From these observations, it has not been possible to determine if the dominant component inside the cavities is thermal or non-thermal, because the data were compatible with both a non-thermal electrons population having a low value of the minimum moment (\(p_1\sim 1 - 10\) ), and with a thermal population with very high temperature of \(kT\sim 1000\)  keV, or even higher (see fig.8 in [6]}).
